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Finding the Third Proportional to 640,336 and 927,444

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Solution

The third proportional to 640,336 and 927,444 is: 1,343,282.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,336 : 927,444 = 927,444 : x
  2. Step 2: Convert to fraction form
    640,336/927,444 = 927,444/x
  3. Step 3: Cross multiply
    640,336x = 927,444 × 927,444
  4. Step 4: Simplify right side
    640,336x = 860,152,373,136
  5. Step 5: Solve for x
    x = 860,152,373,136/640,336
  6. Step 6: Final answer
    x = 1,343,282.86

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.